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Simplifying 2(3x + 1 + -2y) = 20 + -4y Reorder the terms: 2(1 + 3x + -2y) = 20 + -4y (1 * 2 + 3x * 2 + -2y * 2) = 20 + -4y (2 + 6x + -4y) = 20 + -4y Add '4y' to each side of the equation. 2 + 6x + -4y + 4y = 20 + -4y + 4y Combine like terms: -4y + 4y = 0 2 + 6x + 0 = 20 + -4y + 4y 2 + 6x = 20 + -4y + 4y Combine like terms: -4y + 4y = 0 2 + 6x = 20 + 0 2 + 6x = 20 Solving 2 + 6x = 20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 6x = 20 + -2 Combine like terms: 2 + -2 = 0 0 + 6x = 20 + -2 6x = 20 + -2 Combine like terms: 20 + -2 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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